PAVLAČKOVÁ, Martina a Pavel ŽENČÁK. DIRICHLET BOUNDARY VALUE PROBLEM FOR AN IMPULSIVE FORCED PENDULUM EQUATION WITH VISCOUS AND DRY FRICTIONS. Applications of Mathematics. PRAHA 1: ACAD SCIENCES CZECH REPUBLIC, INST MATHEMATICS, 2020, roč. 66, č. 1, s. 57-68. ISSN 0862-7940. Dostupné z: https://dx.doi.org/10.21136/AM.2020.0232-19. |
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@article{6994, author = {Pavlačková, Martina and Ženčák, Pavel}, article_location = {PRAHA 1}, article_number = {1}, doi = {http://dx.doi.org/10.21136/AM.2020.0232-19}, keywords = {impulsive Dirichlet problem; Kakutani-Ky Fan fixed-point theorem; pendulum equation; dry friction}, language = {eng}, issn = {0862-7940}, journal = {Applications of Mathematics}, title = {DIRICHLET BOUNDARY VALUE PROBLEM FOR AN IMPULSIVE FORCED PENDULUM EQUATION WITH VISCOUS AND DRY FRICTIONS}, url = {https://www.springer.com/journal/10492}, volume = {66}, year = {2020} }
TY - JOUR ID - 6994 AU - Pavlačková, Martina - Ženčák, Pavel PY - 2020 TI - DIRICHLET BOUNDARY VALUE PROBLEM FOR AN IMPULSIVE FORCED PENDULUM EQUATION WITH VISCOUS AND DRY FRICTIONS JF - Applications of Mathematics VL - 66 IS - 1 SP - 57-68 EP - 57-68 PB - ACAD SCIENCES CZECH REPUBLIC, INST MATHEMATICS SN - 08627940 KW - impulsive Dirichlet problem KW - Kakutani-Ky Fan fixed-point theorem KW - pendulum equation KW - dry friction UR - https://www.springer.com/journal/10492 N2 - Sufficient conditions are given for the solvability of an impulsive Dirichlet boundary value problem to forced nonlinear differential equations involving the combination of viscous and dry frictions. Apart from the solvability, also the explicit estimates of solutions and their derivatives are obtained. As an application, an illustrative example is given, and the corresponding numerical solution is obtained by applying Matlab software. ER -
PAVLAČKOVÁ, Martina a Pavel ŽENČÁK. DIRICHLET BOUNDARY VALUE PROBLEM FOR AN IMPULSIVE FORCED PENDULUM EQUATION WITH VISCOUS AND DRY FRICTIONS. \textit{Applications of Mathematics}. PRAHA 1: ACAD SCIENCES CZECH REPUBLIC, INST MATHEMATICS, 2020, roč.~66, č.~1, s.~57-68. ISSN~0862-7940. Dostupné z: https://dx.doi.org/10.21136/AM.2020.0232-19.
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